Question

84/-168 when expressed as a rational number with dominator 28 is​

Answer 1

Answer:

Given (-15/-28)

Multiplying both numerator and denominator we can rational number with positive denominator.

(-15/-28) = (-15/-28) × (-1/-1)

= (15/28)

(ii) Given (6/-9)

Multiplying both numerator and denominator we can rational number with positive denominator.

(6/-9) = (6/-9) × (-1/-1)

= (-6/9)

(iii) Given (-28/-11)

Multiplying both numerator and denominator we can rational number with positive denominator.

(-28/-11) = (-28/-11) × (-1/-1)

= (28/11)

(iv) Given (19/-7)

Multiplying both numerator and denominator we can rational number with positive denominator.

(19/-7) = (19/-7) × (-1/-1)

= (-19/7)

2. Express (3/5) as a rational number with numerator:

(i) 6

(ii) -15

(iii) 21

(iv) -27

Solution:

(i) Given (3/5)

To get numerator 6 we have to multiply both numerator and denominator by 2

Then we get, (3/5) × (2/2) = (6/10)

Therefore (3/5) as a rational number with numerator 6 is (6/10)

(ii) Given (3/5)

To get numerator -15 we have to multiply both numerator and denominator by -5

Then we get, (3/5) × (-5/-5)

= (-15/-25)

Therefore (3/5) as a rational number with numerator -15 is (-15/-25)

(iii) Given (3/5)

To get numerator 21 we have to multiply both numerator and denominator by 7

Then we get, (3/5) × (7/7)

= (21/35)

Therefore (3/5) as a rational number with numerator 21 is (21/35)

(iv) Given (3/5)

To get numerator -27 we have to multiply both numerator and denominator by -9

Then we get, (3/5) × (-9/-9)

= (-27/-45)

Therefore (3/5) as a rational number with numerator -27 is (-27/-45)